Results 11 to 20 of about 993,288 (305)
Levi Decomposition of Frobenius Lie Algebra of Dimension 6
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2022 In this paper, we study notion of the Lie algebra of dimension 6. The finite dimensional Lie algebra can be expressed in terms of decomposition between Levi subalgebra and the maximal solvable ideal.
Henti Henti, Edi Kurniadi, Ema Carnia
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Results on Lie ideals of prime ringswith homoderivations
Extracta Mathematicae, 2023 Let R be a prime ring of characteristic not 2 and U be a noncentral square closed Lie ideal of R. An additive mapping Hon R is called a homoderivation if H(xy) =H(x)H(y)+H(x)y+xH(y)for all x, y∈R. In this paper we investigate homoderivations satisfying
A. Sarikaya, O. Gölbasi
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On ideals and contraideals in Leibniz algebras
Доповiдi Нацiональної академiї наук України, 2023 A subalgebra S of a Leibniz algebra L is called a contraideal, if an ideal, generated by S coincides with L. We study the Leibniz algebras, whose subalgebras are either an ideal or a contraideal.
L.A. Kurdachenko +2 more
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On Generalized Permuting Left 3-Derivations of Prime Rings [PDF]
Engineering and Technology Journal, 2017 -Let R be an associative ring. Park and Jung introduced the concept of permuting 3-derivation and they are studied this concept as centralizing and commuting.
A. K. Faraj, S. J. Shareef
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Locally conformally balanced metrics on almost abelian Lie algebras
Complex Manifolds, 2021 We study locally conformally balanced metrics on almost abelian Lie algebras, namely solvable Lie algebras admitting an abelian ideal of codimension one, providing characterizations in every dimension. Moreover, we classify six-dimensional almost abelian
Paradiso Fabio
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Concerning strong Lie ideals [PDF]
Proceedings of the American Mathematical Society, 1960 Let A be a simple ring of characteristic 5 2 or 3, with either its center Z = (0) or of dimension greater than 16 over its center, and with an involution defined on it. Let S and K be the sets of symmetric and skew elements respectively. The Lie and Jordan products are [u, v] =uv-vu and uov=uv+vu.
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Ideally constrained Lie algebras
Journal of Algebra, 2002 The authors study a class of graded Lie algebras satisfying a `narrowness' condition on their lattice of graded ideals. Motivated by analogies with (pro-)\(p\)-groups, they naturally restrict their attention to graded Lie algebras \(L=\bigoplus_{i=1}^{\infty}L_i\) over a field which are generated by \(L_1\).
GAVIOLI, NORBERTO, MONTI V.
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Very nilpotent basis and n-tuples in Borel subalgebras [PDF]
, 2010 A (vector space) basis B of a Lie algebra is said to be very nilpotent if all the iterated brackets of elements of B are nilpotent. In this note, we prove a refinement of Engel's Theorem.
Michael, Bulois
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Jurnal Matematika UNAND, 2019 Suatu himpunan tak kosong R yang memenuhi aksioma tertentu, ada yang dikatakan grup dan ada yang dikatakan ruang vektor. Suatu aljabar Lie L adalah ruang vektor atas lapangan F dengan perkalian [ , ] yang disebut Bracket Lie dan memenuhi beberapa aksioma
Sa'dha Dwi Meitia +2 more
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Some properties of Camina and $n$-Baer Lie algebras [PDF]
Journal of Mahani Mathematical ResearchLet $I$ be a non-zero proper ideal of a Lie algebra $L$. Then $(L, I)$ is called a Camina pair if $I \subseteq [x,L]$, for all $x \in L\setminus I$. Also, $L$ is called a Camina Lie algebra if $(L, L^2)$ is a Camina pair. We first give some properties of
Maryam Ghezelsoflo +3 more
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